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Simplifying (6y + -4)(6y + 2v + -5) = 0 Reorder the terms: (-4 + 6y)(6y + 2v + -5) = 0 Reorder the terms: (-4 + 6y)(-5 + 2v + 6y) = 0 Multiply (-4 + 6y) * (-5 + 2v + 6y) (-4(-5 + 2v + 6y) + 6y * (-5 + 2v + 6y)) = 0 ((-5 * -4 + 2v * -4 + 6y * -4) + 6y * (-5 + 2v + 6y)) = 0 ((20 + -8v + -24y) + 6y * (-5 + 2v + 6y)) = 0 (20 + -8v + -24y + (-5 * 6y + 2v * 6y + 6y * 6y)) = 0 Reorder the terms: (20 + -8v + -24y + (12vy + -30y + 36y2)) = 0 (20 + -8v + -24y + (12vy + -30y + 36y2)) = 0 Reorder the terms: (20 + -8v + 12vy + -24y + -30y + 36y2) = 0 Combine like terms: -24y + -30y = -54y (20 + -8v + 12vy + -54y + 36y2) = 0 Solving 20 + -8v + 12vy + -54y + 36y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -8v + 12vy + -54y + -20 + 36y2 = 0 + -20 Reorder the terms: 20 + -20 + -8v + 12vy + -54y + 36y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -8v + 12vy + -54y + 36y2 = 0 + -20 -8v + 12vy + -54y + 36y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -8v + 12vy + -54y + 36y2 = -20 Add '54y' to each side of the equation. -8v + 12vy + -54y + 54y + 36y2 = -20 + 54y Combine like terms: -54y + 54y = 0 -8v + 12vy + 0 + 36y2 = -20 + 54y -8v + 12vy + 36y2 = -20 + 54y Add '-36y2' to each side of the equation. -8v + 12vy + 36y2 + -36y2 = -20 + 54y + -36y2 Combine like terms: 36y2 + -36y2 = 0 -8v + 12vy + 0 = -20 + 54y + -36y2 -8v + 12vy = -20 + 54y + -36y2 Reorder the terms: 20 + -8v + 12vy + -54y + 36y2 = -20 + 54y + -36y2 + 20 + -54y + 36y2 Reorder the terms: 20 + -8v + 12vy + -54y + 36y2 = -20 + 20 + 54y + -54y + -36y2 + 36y2 Combine like terms: -20 + 20 = 0 20 + -8v + 12vy + -54y + 36y2 = 0 + 54y + -54y + -36y2 + 36y2 20 + -8v + 12vy + -54y + 36y2 = 54y + -54y + -36y2 + 36y2 Combine like terms: 54y + -54y = 0 20 + -8v + 12vy + -54y + 36y2 = 0 + -36y2 + 36y2 20 + -8v + 12vy + -54y + 36y2 = -36y2 + 36y2 Combine like terms: -36y2 + 36y2 = 0 20 + -8v + 12vy + -54y + 36y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -4v + 6vy + -27y + 18y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -4v + 6vy + -27y + 18y2)' equal to zero and attempt to solve: Simplifying 10 + -4v + 6vy + -27y + 18y2 = 0 Solving 10 + -4v + 6vy + -27y + 18y2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4v + 6vy + -27y + -10 + 18y2 = 0 + -10 Reorder the terms: 10 + -10 + -4v + 6vy + -27y + 18y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4v + 6vy + -27y + 18y2 = 0 + -10 -4v + 6vy + -27y + 18y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -4v + 6vy + -27y + 18y2 = -10 Add '27y' to each side of the equation. -4v + 6vy + -27y + 27y + 18y2 = -10 + 27y Combine like terms: -27y + 27y = 0 -4v + 6vy + 0 + 18y2 = -10 + 27y -4v + 6vy + 18y2 = -10 + 27y Add '-18y2' to each side of the equation. -4v + 6vy + 18y2 + -18y2 = -10 + 27y + -18y2 Combine like terms: 18y2 + -18y2 = 0 -4v + 6vy + 0 = -10 + 27y + -18y2 -4v + 6vy = -10 + 27y + -18y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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